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Hansoge NK, Gupta A, White H, Giuntoli A, Keten S. Universal Relation for Effective Interaction between Polymer-Grafted Nanoparticles. Macromolecules 2021. [DOI: 10.1021/acs.macromol.0c02600] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Nitin K. Hansoge
- Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208-3109, United States
- Center for Hierarchical Materials Design, Northwestern University, 2205 Tech Drive, Evanston, Illinois 60208-3109, United States
| | - Agam Gupta
- Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208-3109, United States
| | - Heather White
- Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208-3109, United States
| | - Andrea Giuntoli
- Department of Civil & Environmental Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208-3109, United States
| | - Sinan Keten
- Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208-3109, United States
- Center for Hierarchical Materials Design, Northwestern University, 2205 Tech Drive, Evanston, Illinois 60208-3109, United States
- Department of Civil & Environmental Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208-3109, United States
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2
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Martin TB, Gartner TE, Jones RL, Snyder CR, Jayaraman A. pyPRISM: A Computational Tool for Liquid-State Theory Calculations of Macromolecular Materials. Macromolecules 2018. [DOI: 10.1021/acs.macromol.8b00011] [Citation(s) in RCA: 31] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
- Tyler B. Martin
- National Institute
of Standards and Technology, Gaithersburg, Maryland 20899, United States
| | | | - Ronald L. Jones
- National Institute
of Standards and Technology, Gaithersburg, Maryland 20899, United States
| | - Chad R. Snyder
- National Institute
of Standards and Technology, Gaithersburg, Maryland 20899, United States
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3
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Vogiatzis GG, Theodorou DN. Multiscale Molecular Simulations of Polymer-Matrix Nanocomposites: or What Molecular Simulations Have Taught us About the Fascinating Nanoworld. ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING : STATE OF THE ART REVIEWS 2017; 25:591-645. [PMID: 29962833 PMCID: PMC6003436 DOI: 10.1007/s11831-016-9207-y] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/08/2016] [Accepted: 12/20/2016] [Indexed: 06/08/2023]
Abstract
Following the substantial progress in molecular simulations of polymer-matrix nanocomposites, now is the time to reconsider this topic from a critical point of view. A comprehensive survey is reported herein providing an overview of classical molecular simulations, reviewing their major achievements in modeling polymer matrix nanocomposites, and identifying several open challenges. Molecular simulations at multiple length and time scales, working hand-in-hand with sensitive experiments, have enhanced our understanding of how nanofillers alter the structure, dynamics, thermodynamics, rheology and mechanical properties of the surrounding polymer matrices.
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Affiliation(s)
- Georgios G. Vogiatzis
- School of Chemical Engineering, National Technical University of Athens, 9 Heroon Polytechniou Street, Zografou Campus, 15780 Athens, Greece
- Present Address: Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600MB Eindhoven, The Netherlands
| | - Doros N. Theodorou
- School of Chemical Engineering, National Technical University of Athens, 9 Heroon Polytechniou Street, Zografou Campus, 15780 Athens, Greece
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4
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Xu Q, Feng Y, Chen L. Phase separation of comb polymer nanocomposite melts. SOFT MATTER 2016; 12:1385-1400. [PMID: 26754414 DOI: 10.1039/c5sm02223a] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
In this work, the spinodal phase demixing of branched comb polymer nanocomposite (PNC) melts is systematically investigated using the polymer reference interaction site model (PRISM) theory. To verify the reliability of the present method in characterizing the phase behavior of comb PNCs, the intermolecular correlation functions of the system for nonzero particle volume fractions are compared with our molecular dynamics simulation data. After verifying the model and discussing the structure of the comb PNCs in the dilute nanoparticle limit, the interference among the side chain number, side chain length, nanoparticle-monomer size ratio and attractive interactions between the comb polymer and nanoparticles in spinodal demixing curves is analyzed and discussed in detail. The results predict two kinds of distinct phase separation behaviors. One is called classic fluid phase boundary, which is mediated by the entropic depletion attraction and contact aggregation of nanoparticles at relatively low nanoparticle-monomer attraction strength. The second demixing transition occurs at relatively high attraction strength and involves the formation of an equilibrium physical network phase with local bridging of nanoparticles. The phase boundaries are found to be sensitive to the side chain number, side chain length, nanoparticle-monomer size ratio and attractive interactions. As the side chain length is fixed, the side chain number has a large effect on the phase behavior of comb PNCs; with increasing side chain number, the miscibility window first widens and then shrinks. When the side chain number is lower than a threshold value, the phase boundaries undergo a process from enlarging the miscibility window to narrowing as side chain length increases. Once the side chain number overtakes this threshold value, the phase boundary shifts towards less miscibility. With increasing nanoparticle-monomer size ratio, a crossover of particle size occurs, above which the phase separation is consistent with that of chain PNCs. The miscibility window for this condition gradually narrows while the other parameters of the PNCs system are held constant. These results indicate that the present PRISM theory can give molecular-level details of the underlying mechanisms of the comb PNCs. It is hoped that the results can be used to provide useful guidance for the future design control of novel, thermodynamically stable comb PNCs.
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Affiliation(s)
- Qinzhi Xu
- Institute of Microelectronics, Chinese Academy of Sciences, Beijing 100029, China.
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5
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Duan ZG, Huang M, Cui W, Cao XZ. Indirect interacting force between nanoparticles within athermal polymers: A Langevin dynamics study. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2015.09.029] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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6
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Wei Z, Hou Y, Ning N, Zhang L, Tian M, Mi J. Theoretical Insight into Dispersion of Silica Nanoparticles in Polymer Melts. J Phys Chem B 2015; 119:9940-8. [DOI: 10.1021/acs.jpcb.5b01399] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Zhaoyang Wei
- State
Key Laboratory of Organic−Inorganic Composites, and ‡Key Laboratory
of Beijing City on Preparation and Processing of Novel Polymer Materials, Beijing University of Chemical Technology, Beijing, China
| | - Yaqi Hou
- State
Key Laboratory of Organic−Inorganic Composites, and ‡Key Laboratory
of Beijing City on Preparation and Processing of Novel Polymer Materials, Beijing University of Chemical Technology, Beijing, China
| | - Nanying Ning
- State
Key Laboratory of Organic−Inorganic Composites, and ‡Key Laboratory
of Beijing City on Preparation and Processing of Novel Polymer Materials, Beijing University of Chemical Technology, Beijing, China
| | - Liqun Zhang
- State
Key Laboratory of Organic−Inorganic Composites, and ‡Key Laboratory
of Beijing City on Preparation and Processing of Novel Polymer Materials, Beijing University of Chemical Technology, Beijing, China
| | - Ming Tian
- State
Key Laboratory of Organic−Inorganic Composites, and ‡Key Laboratory
of Beijing City on Preparation and Processing of Novel Polymer Materials, Beijing University of Chemical Technology, Beijing, China
| | - Jianguo Mi
- State
Key Laboratory of Organic−Inorganic Composites, and ‡Key Laboratory
of Beijing City on Preparation and Processing of Novel Polymer Materials, Beijing University of Chemical Technology, Beijing, China
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7
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Banerjee D, Schweizer KS. Controlling effective interactions and spatial dispersion of nanoparticles in multiblock copolymer melts. ACTA ACUST UNITED AC 2015. [DOI: 10.1002/polb.23752] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Debapriya Banerjee
- Department of Materials Science and Frederick Seitz Materials Research Laboratory; University of Illinois; Urbana Illinois 61801
| | - Kenneth S. Schweizer
- Department of Materials Science and Frederick Seitz Materials Research Laboratory; University of Illinois; Urbana Illinois 61801
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8
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Banerjee D, Schweizer KS. Multi-scale entropic depletion phenomena in polymer liquids. J Chem Phys 2015; 142:214903. [DOI: 10.1063/1.4921747] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Debapriya Banerjee
- Department of Materials Science, University of Illinois, Urbana, Illinois 61801, USA
| | - Kenneth S. Schweizer
- Department of Materials Science, University of Illinois, Urbana, Illinois 61801, USA
- Department of Chemistry, University of Illinois, Urbana, Illinois 61801, USA
- Frederick Seitz Materials Research Laboratory, University of Illinois, Urbana, Illinois 61801, USA
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9
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Xu Q, Xu M, Feng Y, Chen L. Structure and effective interactions of comb polymer nanocomposite melts. J Chem Phys 2014; 141:204901. [DOI: 10.1063/1.4902053] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Qinzhi Xu
- Institute of Microelectronics, Chinese Academy of Sciences, Beijing 100029, China
| | - Mengjin Xu
- Research Institute of China Lucky Film Corporation, Baoding 071054, China
| | - Yancong Feng
- School of Advanced Materials, Peking University Shenzhen Graduate School, Shenzhen 518055, China
| | - Lan Chen
- Institute of Microelectronics, Chinese Academy of Sciences, Beijing 100029, China
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10
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Xu Q, Chen L. Integral equation theory for atactic polystyrene nanocomposite melts with a multi-site model. J Chem Phys 2014; 140:234901. [PMID: 24952562 DOI: 10.1063/1.4882355] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this work, a multi-site chain model was incorporated into the polymer reference interaction site model to investigate the structure and properties of atactic polystyrene (aPS) melt and the structural correlations of dilute spherical nanoparticles dissolved in aPS melt. The theoretically calculated X-ray scattering intensities, solubility parameters and intermolecular correlation functions of aPS and its nanocomposites are found to be in agreement with the corresponding molecular simulation and experimental data. The theory was further employed to investigate the distribution functions of different size effects of aPS-nanoparticle system with consideration of the potential of mean force and depletion force. The aggregation of large nanoparticles increases with the increase of the nanoparticle-site size ratio in the infinitely dilute limit. The results show that the present theory can be used to investigate the structure of aPS melt and its nanocomposite, and give a further understanding of the filler dispersion and aggregation. All the observations indicate molecular-level details of the underlying mechanisms, providing useful information for the future design control of new aPS-nanocomposite materials with tailored properties.
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Affiliation(s)
- Qinzhi Xu
- Institute of Microelectronics, Chinese Academy of Sciences, Beijing 100029, China
| | - Lan Chen
- Institute of Microelectronics, Chinese Academy of Sciences, Beijing 100029, China
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11
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Banerjee D, Dadmun M, Sumpter B, Schweizer KS. Theory of the Miscibility of Fullerenes in Random Copolymer Melts. Macromolecules 2013. [DOI: 10.1021/ma4017604] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Debapriya Banerjee
- Department of Materials
Science and Frederick Seitz Materials Research Laboratory, University of Illinois, Urbana, Illinois 61801, United States
| | - Mark Dadmun
- Department
of Chemistry, University of Tennessee, Knoxville, Tennessee 37996, United States
- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
| | - Bobby Sumpter
- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
- Computer Science & Mathematics Division and Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
| | - Kenneth S. Schweizer
- Department of Materials
Science and Frederick Seitz Materials Research Laboratory, University of Illinois, Urbana, Illinois 61801, United States
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12
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Lai X, Zhao N. Time‐dependent Diffusion Coefficient and Conventional Diffusion Constant of Nanoparticles in Polymer Melts by Mode‐coupling Theory. CHINESE J CHEM PHYS 2013. [DOI: 10.1063/1674-0068/26/02/163-171] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
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13
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Yan LT, Xie XM. Computational modeling and simulation of nanoparticle self-assembly in polymeric systems: Structures, properties and external field effects. Prog Polym Sci 2013. [DOI: 10.1016/j.progpolymsci.2012.05.001] [Citation(s) in RCA: 108] [Impact Index Per Article: 9.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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14
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Frischknecht AL, Yethiraj A. Two- and three-body interactions among nanoparticles in a polymer melt. J Chem Phys 2011; 134:174901. [DOI: 10.1063/1.3585979] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023] Open
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15
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Hall LM, Schweizer KS. Impact of Monomer Sequence, Composition and Chemical Heterogeneity on Copolymer-Mediated Effective Interactions between Nanoparticles in Melts. Macromolecules 2011. [DOI: 10.1021/ma200079z] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Affiliation(s)
- Lisa M. Hall
- Department of Chemical and Biomolecular Engineering and ‡Department of Materials Science and Engineering, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Kenneth S. Schweizer
- Department of Chemical and Biomolecular Engineering and ‡Department of Materials Science and Engineering, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
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16
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Toepperwein GN, Karayiannis NC, Riggleman RA, Kröger M, de Pablo JJ. Influence of Nanorod Inclusions on Structure and Primitive Path Network of Polymer Nanocomposites at Equilibrium and Under Deformation. Macromolecules 2011. [DOI: 10.1021/ma102741r] [Citation(s) in RCA: 84] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Gregory N. Toepperwein
- Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706-1691, United States
| | - Nikos Ch. Karayiannis
- Institute for Optoelectronics and Microsystems (ISOM) and ETSII, Universidad Politécnica de Madrid (UPM), 28006 Madrid, Spain
| | - Robert A. Riggleman
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
| | - Martin Kröger
- Department of Materials, Polymer Physics, ETH Zurich, CH-8093 Zurich, Switzerland
| | - Juan J. de Pablo
- Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706-1691, United States
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17
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Chakrabarti R, Schweizer KS. Polymer-mediated spatial organization of nanoparticles in dense melts: Transferability and an effective one-component approach. J Chem Phys 2010; 133:144905. [DOI: 10.1063/1.3501358] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
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18
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Hall LM, Schweizer KS. Many body effects on the phase separation and structure of dense polymer-particle melts. J Chem Phys 2008; 128:234901. [DOI: 10.1063/1.2938379] [Citation(s) in RCA: 79] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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19
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20
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Rahedi AJ, Douglas JF, Starr FW. Model for reversible nanoparticle assembly in a polymer matrix. J Chem Phys 2008; 128:024902. [DOI: 10.1063/1.2815809] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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21
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ZHAO L, LI YG, ZHONG CL. Description of the Structure and Properties of Atactic Polystyrene Melt Using Integral Equation Theory. CHINESE J CHEM 2007. [DOI: 10.1002/cjoc.200790351] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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22
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Kim SC, Suh SH, Seong BS. Effect of polymer size and chain length on depletion interactions between two colloids. J Chem Phys 2007; 127:114903. [PMID: 17887876 DOI: 10.1063/1.2776260] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A density functional theory based on the weighted density has been developed to investigate the depletion interactions between two colloids immersed in a bath of the binary polymer mixtures, where the colloids are modeled as hard spheres and the polymers as freely jointed tangent hard-sphere chain mixtures. The theoretical calculations for the depletion forces between two colloids induced by the polymer are in good agreement with the computer simulations. The effects of polymer packing fraction, degree of polymerization, polymer/polymer size ratio, colloid/polymer size ratio on the depletion interactions, and colloid-colloid second virial coefficient B2 due to polymer-mediated interactions have been studied. With increasing the polymer packing fraction, the depletion interaction becomes more long ranged and the attractive interaction near the colloid becomes deeper. The effect of degree polymerization shows that the long chain gives a more stable dispersion for colloids rather than the short chain. The strong effective colloid-colloid attraction appears for the large colloid/polymer and polymer/polymer size ratio. The location of maximum repulsion Rmax is found to appear Rmax approximately sigmac+Rg2 for the low polymer packing fraction and this is shifted to smaller separation Rmax approximately sigmac+sigmap2 with increasing the polymer packing fraction, where sigmap2 and Rg2 are the small-particle diameter and the radius of gyration of the polymer with the small-particle diameter, respectively.
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Affiliation(s)
- Soon-Chul Kim
- Department of Physics, Andong National University, Andong 760-749, Korea.
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23
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Zhao L, Li YG, Zhong C. Integral equation theory study on the phase separation in star polymer nanocomposite melts. J Chem Phys 2007; 127:154909. [DOI: 10.1063/1.2795717] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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24
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Hooper JB, Schweizer KS. Real Space Structure and Scattering Patterns of Model Polymer Nanocomposites. Macromolecules 2007. [DOI: 10.1021/ma071147e] [Citation(s) in RCA: 61] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Justin B. Hooper
- Departments of Materials Science and Engineering, University of Illinois, 1304 West Green Street, Urbana, Illinois 61801
| | - Kenneth S. Schweizer
- Departments of Materials Science and Engineering, University of Illinois, 1304 West Green Street, Urbana, Illinois 61801
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25
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Zhao L, Li YG, Zhong C. Integral equation theory study on the structure and effective interactions in star polymer nanocomposite melts. J Chem Phys 2007; 126:014906. [PMID: 17212518 DOI: 10.1063/1.2426340] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The polymer reference interaction site model theory is used to investigate the radial distribution function, potential of mean force, depletion force, and second virial coefficient in star polymer nanocomposite melts. The contact aggregation of nanoparticles for relatively weak nanoparticle-monomer attraction and the bridging aggregation of nanoparticles for very large nanoparticle-monomer attraction are observed. The star architecture can well suppress the organization states of direct contact and bridging structure for the moderate nanoparticle-monomer attraction, and promote the bridging-type organization for relatively large nanoparticle-monomer attraction. At constant particle volume fraction, the arm length quantitatively affects the organization states of star polymer nanocomposite melt, and larger repulsive barriers are existent to prevent the contact aggregation of larger nanoparticles. These observations provide useful information for the development of new nanocomposite materials.
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Affiliation(s)
- Lei Zhao
- Department of Chemical Engineering, The Key Laboratory of Bioprocess of Beijing, Beijing University of Chemical Technology, Beijing 100029, China
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